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Adjoints of oriented matroids - MaRDI portal

Adjoints of oriented matroids (Q1092910)

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scientific article; zbMATH DE number 4021154
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Adjoints of oriented matroids
scientific article; zbMATH DE number 4021154

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    Adjoints of oriented matroids (English)
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    1986
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    An adjoint of a geometric lattice G is a geometric lattice \(\tilde G\) of the same rank into which there is an embedding e mapping the copoints of G onto the points of \(\tilde G.\) In this paper we introduce oriented adjoints and prove that they can be embedded into the extension lattice of oriented matroids.
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    geometric lattice
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    oriented matroids
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